Information on Result #684020

Linear OA(5110, 138, F5, 62) (dual of [138, 28, 63]-code), using construction X applied to Ce(61) ⊂ Ce(48) based on
  1. linear OA(598, 125, F5, 62) (dual of [125, 27, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
  2. linear OA(595, 125, F5, 49) (dual of [125, 30, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
  3. linear OA(512, 13, F5, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,5)), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(5110, 138, F5, 61) (dual of [138, 28, 62]-code) [i]Strength Reduction
2Linear OA(5109, 137, F5, 61) (dual of [137, 28, 62]-code) [i]Truncation
3Linear OA(5108, 136, F5, 60) (dual of [136, 28, 61]-code) [i]
4Linear OA(5107, 135, F5, 59) (dual of [135, 28, 60]-code) [i]
5Linear OA(5106, 134, F5, 58) (dual of [134, 28, 59]-code) [i]
6Linear OA(5105, 133, F5, 57) (dual of [133, 28, 58]-code) [i]
7Linear OA(5104, 132, F5, 56) (dual of [132, 28, 57]-code) [i]
8Linear OA(5103, 131, F5, 55) (dual of [131, 28, 56]-code) [i]
9Linear OOA(5110, 69, F5, 2, 62) (dual of [(69, 2), 28, 63]-NRT-code) [i]OOA Folding
10Linear OOA(5110, 46, F5, 3, 62) (dual of [(46, 3), 28, 63]-NRT-code) [i]